Orif Ibrogimov

Postdoctoral Researcher

Department of Mathematics
Czech Technical Universit in Prague
Trojanova str. 13, 12000 Prague 2
Czech Republic

E-mail: ibrogori [ A T ] fjfi.cvut.cz

At the moment I am working in the research group of Prof. Dr. David Krejčiřík at Czech Technical University in Prague.

I completed my PhD under the supervision of Prof. Dr. Christiane Tretter at University of Bern in Switzerland. Then I was a Honorary Research Associate at the Department of Mathematics at University College London where I worked in the research group of Prof. Dr. Alex Sobolev. My research was funded by an Early Postdoc.Mobility fellowship of the Swiss National Science Foundation.


Research interests

Spectral theory, non-self-adjoint operators, block operator matrices, singular differential and integral operators, applications to mathematical physics.


Publications

Published Papers

  1. Spectral analysis of the spin-boson Hamiltonian with two photons for arbitrary coupling.
    O.O. Ibrogimov, Ann. Henri Poincarè 19 (11), 3561–3579 (2018)
    ArXiv:1801.06908

  2. On the spectrum of an operator in truncated Fock space.
    O.O. Ibrogimov and C. Tretter, Operator Theory: Advances and Applications 263, 321-334 (2018)
    ArXiv:1612.05459

  3. Essential spectrum of non-self-adjoint singular matrix differential operators.
    O.O. Ibrogimov, J. Math. Anal. Appl. 451(1), 473-496 (2017)
    ArXiv:1612.05193

  4. Essential spectrum of elliptic systems of pseudo-differential operators.
    O.O. Ibrogimov and C. Tretter, J. Pseudo-Differ. Oper. Appl. 8(2), 147-166 (2017)
    ArXiv:1703.06344

  5. Functional Equations and the Cauchy Mean Value Theorem.
    Z.M. Balogh, O.O. Ibrogimov and B.S. Mityagin, Aequat. Math. 90, 683-697 (2016)
    ArXiv:1508.00329

  6. Analysis of the essential spectrum of singular matrix differential operators.
    O.O. Ibrogimov, P. Siegl and C. Tretter, J. Differential Equations 260(4), 3881-3926 (2016)
    ArXiv:1512.00759

  7. Essential spectrum of systems of singular differential equations.
    O.O. Ibrogimov, H. Langer, M. Langer and C. Tretter, Acta Sci. Math. (Szeged) 79 (3-4), 423-465 (2013)
    ArXiv:1307.5896

Preprints

  1. Spectral enclosures for non-self-adjoint discrete Schrödinger operators.
    O.O. Ibrogimov and F. Štampach (2019) ArXiv:1903.08620

  2. Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions.
    O.O. Ibrogimov, D. Krejčiřík and A. Laptev (2019) ArXiv:1903.01810

  3. Discrete eigenvalues of the spin-boson Hamiltonian with two photons: on a problem of Minlos and Spohn.
    O.O. Ibrogimov (2019) ArXiv:1902.05549

  4. Spectral analysis of the spin-boson Hamiltonian with two bosons for arbitrary coupling and bounded dispersion relation.
    O.O. Ibrogimov (2019) ArXiv:1901.11534

  5. Essential spectra of non-self-adjoint block operator matrices due to singularity.
    O.O. Ibrogimov and P. Siegl (2018)


Selected talks


Other activities


Useful links

Conferences in Spectral Theory and Mathematical Physics
International Mathematics Competition for University Students (IMC)
Vojtěch Jarník International Mathematical Competition(VJIMC)